Phenomenology of charmed mesons in the extended Linear Sigma Model

Abstract

We study the so-called extended linear sigma model for the case of four quark flavors. This model is based on global chiral symmetry and dilatation invariance and includes, besides scalar and pseudoscalar mesons, vector and axial-vector mesons. Most of the parameters of the model have been determined in previous work by fitting properties of mesons with three quark flavors. Only three new parameters, all related to the current charm quark mass, appear when introducing charmed mesons. Surprisingly, within the accuracy expected from our approach, the masses of open charmed mesons turn out to be in quantitative agreement with experimental data. On the other hand, with the exception of $J/\psi$, the masses of charmonia are underpredicted by about 10\%. It is remarkable that our approach correctly predicts (within errors) the mass splitting between spin-0 and spin-1 negative-parity open charm states. This indicates that, although the charm quark mass breaks chiral symmetry quite strongly explicitly, this symmetry still seems to have some influence on the properties of charmed mesons.

19 pages, 1 figure, 3 tables

References in corpus (23)

• Heavy quarkonium: progress, puzzles, and opportunities
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• A low-lying scalar meson nonet in a unitarized meson model
• Dynamically generated 1^+ heavy mesons
• Radiative and isospin-violating decays of Ds mesons in the hadrogenesis conjecture
• Is f0(1710) a glueball?
• The nature of $\sigma$, $\kappa$, $a_0(980)$ and $f_0(980)$
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Implications of heavy quark spin symmetry on heavy meson hadronic molecules
• Experimental status of the $\pi \pi$ isoscalar S wave at low energy: $f_0(600)$ pole and scattering length
• On the spectral functions of scalar mesons
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• Light meson mass dependence of the positive parity heavy-strange mesons
• A Study in Depth of f0(1370)
• Two chiral nonet model with massless quarks
• Phenomenology of axial-vector and pseudovector mesons: decays and mixing in the kaonic sector
• K1(1270)-K1(1400) Mixing Angle and New-Physics Effects in B to K1 l+ l- Decays
• Charmonium states in QCD-inspired quark potential model using Gaussian expansion method
• Model independent determination of the sigma pole
• Propagator poles and an emergent stable state below threshold: general discussion and the E(38) state
• Sigma pole position and errors of a once and twice subtracted dispersive analysis of pi-pi scattering data
• A Linear Sigma Model with Three Flavors and Vector and Axial-Vector Mesons
• Charmonia from Lattice QCD

Cited by in corpus (23)

• Masses of $D$ mesons, $D_s$ mesons and charmonium states from twisted mass lattice QCD
• Mass spectra and strong decays of charmed and charmed-strange mesons
• A Three-Flavor Chiral Effective Model with Four Baryonic Multiplets within the Mirror Assignment
• Continuum limit of the $D$ meson, $D_s$ meson and charmonium spectrum from $N_f=2+1+1$ twisted mass lattice QCD
• Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach
• Decays of the vector glueball
• Decay modes of the excited pseudoscalar glueball
• SUSY with R-symmetry: confronting EW precision observables and LHC constraints
• Masses of Heavy and Light Scalar Tetraquarks in a Non-Relativistic Quark Model
• Holographic QCD model for $N_f=4$
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Hadronic decays of the (pseudo-)scalar charmonium states ${\eta }_c$ and ${\chi }_{c0}$ in the extended Linear Sigma Model
• Decay of the pseudoscalar glueball and its first excited state into scalar and pseudoscalar mesons and their first excited states
• Interactions of the ${\chi }_{c1}(4274)$ state with light mesons
• $D_1(2420)$ and its interactions with a kaon: open charm states with strangeness
• Role of scalar dibaryon and $f_0(500)$ in the isovector channel of low-energy neutron-proton scattering
• Photon emissivity in the vicinity of a critical point - A case study within the quark meson model
• Mass Spectrum of Non-Charmed and Charmed Meson States in Extended Linear-Sigma Model
• The eLSM at nonzero density
• Three-flavor chiral effective model with four baryonic multiplets within the mirror assignment
• Mass spectra of heavy mesons with instanton effects
• Derivation of Meson Masses in SU(3) and SU(4) Extended Linear-Sigma Model at Finite Temperature
• Spectroscopy of charmonium-like mesons, heavy-light mesons with charm, AdS/QCD, and configurational entropy